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Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays

Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays
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摘要 A general model of linearly stochastically coupled identical connected neural networks with hybrid coupling is proposed, which is composed of constant coupling, coupling discrete time-varying delay and coupling distributed timevarying delay. All the coupling terms are subjected to stochastic disturbances described in terms of Brownian motion, which reflects a more realistic dynamical behaviour of coupled systems in practice. Based on a simple adaptive feedback controller and stochastic stability theory, several sufficient criteria are presented to ensure the synchronization of linearly stochastically coupled complex networks with coupling mixed time-varying delays. Finally, numerical simulations illustrated by scale-free complex networks verify the effectiveness of the proposed controllers. A general model of linearly stochastically coupled identical connected neural networks with hybrid coupling is proposed, which is composed of constant coupling, coupling discrete time-varying delay and coupling distributed timevarying delay. All the coupling terms are subjected to stochastic disturbances described in terms of Brownian motion, which reflects a more realistic dynamical behaviour of coupled systems in practice. Based on a simple adaptive feedback controller and stochastic stability theory, several sufficient criteria are presented to ensure the synchronization of linearly stochastically coupled complex networks with coupling mixed time-varying delays. Finally, numerical simulations illustrated by scale-free complex networks verify the effectiveness of the proposed controllers.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第11期4080-4090,共11页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant No 60874113)
关键词 stochastically hybrid coupling discrete and distributed time-varying delays complex dynamical networks chaotic neural networks stochastically hybrid coupling, discrete and distributed time-varying delays, complex dynamical networks, chaotic neural networks
作者简介 Corresponding author. E-mail: tany_yang@mail.dhu.edu.cn
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